Concept clusters
Related ideas that live chapters apart, pulled onto one page — every factoring technique, every way to solve a quadratic, and more.
Every way to confirm a subgroup is normal
Four shortcuts, cheapest first -- run the full conjugation test only when none of them apply.
6 concepts →
Every way to tell if two groups are isomorphic
Build an explicit bijection to prove it -- find one mismatched invariant to disprove it instantly.
6 concepts →
Every way to pin down a finite group's structure
From a bare order number to a full classification -- bound, force, build, then compare.
6 concepts →
Every way to visualize a group's structure
Four different pictures of the same object -- each throws away different information to make something else easy to see.
4 concepts →